Journal Article10.1007/S10469-007-0036-9
Finite groups with subnormal Schmidt subgroups
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TL;DR: In this paper, the authors give a complete description of the structure of finite non-nilpotent groups all Schmidt subgroups of which are subnormal and give a description of their structure.
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Abstract: We give a complete description of the structure of finite non-nilpotent groups all Schmidt subgroups of which are subnormal.
read more
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Citations
Finite groups with σ-subnormal Schmidt subgroups
Xiaolan Yi,S.F. Kamornikov +1 more
TL;DR: In this paper, the authors studied the Schmidt subgroups of which all the minimal non-nilpotent subgroups are σ-subnormal and obtained an affirmative answer to Problem 19.85 from the Kourovka Notebook.
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On finite groups with generalized σ-subnormal Schmidt subgroups
Bin Hu,Jianhong Huang +1 more
TL;DR: A subgroup A of G is said to be generalized σ-subnormal in G if A is a modular subgroup and T is a normal subgroup in G.
16
A criterion for a finite group to be σ-soluble
TL;DR: In this article, a partition of the set of all primes ℙ and G a finite group is considered, and G is said to be σ-soluble if every chief factor H/K of G is a σi-group for some i=i(H/K).
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Characterizations of Finite $$\sigma $$ σ -Nilpotent and $$\sigma $$ σ -Quasinilpotent Groups
TL;DR: In this paper, the authors studied the properties of finite groups and showed that a finite group G is quasinilpotent if every chief factor of G is a quasi-eccentric chief factor and every automorphism induced by G is inner.
8
Finite Groups with $$\sigma $$-Subnormal Schmidt Subgroups
TL;DR: In this article , a subgroup H of a finite group G is said to be subnormal in G if H can be joined to G by means of a chain of subgroups.
7
References
•Book
Finite Soluble Groups
Klaus Doerk,Trevor Hawkes +1 more
- 01 May 1992
TL;DR: At least one year of the Wall Street journal (WSJ) on a single disk, updated monthly, and subject to Boolean search (excluding Reuters no great loss and the ads, the digest of earnings and the dividends tables, futures prices, and stock tables and other free-standing tabular data) as discussed by the authors.
1.1K
Finite Groups with Subnormal Schmidt Subgroups
V. N. Knyagina,V. S. Monakhov +1 more
TL;DR: In this paper, the Schmidt subgroups (the minimal non-nilpotent subgroups) of finite groups are studied, some of whose Schmidt subgroup is subnormal, and some of which are not subnormal at all.
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